Find the mean deviation of these numbers 10, 12, 14, 15, 17, 19.
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Correct Answer: Option A
Explanation:
\(\begin{array}{c|c} x & d = x - \bar{x} & |d| \\ \hline 10 & -4.5 & 4.5 \\ 12 & -2.5 & 2.5\\ 14 & -0.5 & 0.5\\ 15 & 0.5 & 0.5\\ 17 & 2.5 & 2.5\\ 19 & 4.5 & 4.5\\ \hline \sum x = 87 & & \sum|d| = 15\end{array}\)
\(\bar{x} = \frac{\sum x}{n}\)
= \(\frac{87}{6}\)
= 14.5
\(\begin{array}{c|c} x & d = x - \bar{x} & |d| \\ \hline 10 & -4.5 & 4.5 \\ 12 & -2.5 & 2.5\\ 14 & -0.5 & 0.5\\ 15 & 0.5 & 0.5\\ 17 & 2.5 & 2.5\\ 19 & 4.5 & 4.5\\ \hline \sum x = 87 & & \sum|d| = 15\end{array}\)
\(\bar{x} = \frac{\sum x}{n}\)
= \(\frac{87}{6}\)
= 14.5